Question

x(t) = c_1e^{3 t} + c_2e^{-3 t}.
where c_1,\,c_2 are arbitrary constants.

Find an expression for c_1 in terms of e^(3t), x, and y = x'.
Use t, x, y in your answer; not x', not x'(t), not x(t), not y(t).